POWRE: Wavelets Applications to Seimic Response Studies

Todorovska小波分析自80年代中期首次提出以来，在科学和工程的许多领域得到了广泛的应用。 由于小波变换在时间和频率上都是局部化的，因此它特别适合于瞬态信号和时变系统的分析。 它的广泛使用也是由于正交和双正交基的存在，瞬态信号（数据压缩）表示的效率，以及快速和准确的计算算法的信号/图像变换和重建的可用性。 尽管小波分析对与地震有关的问题（本质上是瞬态的）具有明显的适用性，但它在地震工程和工程地震学中的应用却很少。 这个项目的目标是探索小波在这两个领域的各种应用。 该研究的重点将是从存在噪声的结构中的强和弱运动记录中识别非线性土壤-结构系统，以及强地面运动的表示和分析。将为首席研究员提供一个机会，开始对小波应用的独立研究（和现代信号处理和估计理论，一般），她的专业领域，并将创造机会，未来的资金从定期NSF和其他来源。预计这将增加她获得定期终身教职的机会。首席研究员是一个职业生涯中期的研究员，与跨学科教育（在物理学，土木工程，应用数学和电气工程），职业生涯的基础上，在地震工程和工程地震学，并与非终身教职的教师任命在南加州大学。 这笔赠款还将提供一个机会，她继续存在和知名度在她的家乡机构，在那里她一直是唯一的女教师在土木工程系。该项目将涉及两个工程学科的合作（首席研究员将与她所在机构的电气工程系的教师合作开展该项目），以及一名研究生（具有土木工程背景）的参与。 最后，该项目将引入新的方法来理解和建模地震强地面运动和结构反应，从而为国家减少地震风险的努力做出贡献。*

0075070 TodorovskaSince first introduced in mid 1980s wavelet analysis has been widely applied in many fields of science and engineering. The wavelet transform is particularly suitable for analysis of transient signals and time varying systems, because it is localized both in time and frequency. Its widespread use is also due to the existence of orthogonal and bi-orthogonal bases, the efficiency in representation of transient signals (data compression), and the availability of fast and accurate computational algorithms for signal/image transformation and reconstruction. In spite of its obvious suitability to earthquake related problems (transient by nature), the wavelet analysis has been applied very little in Earthquake Engineering and Engineering Seismology. The objective of this project is to explore various applications of wavelets to these two fields. The focus of the study will be on identification of nonlinear soil-structure systems from strong and weak motion records in structures in presence of noise, and on representation and analysis of strong ground motion.This research enhancement grant, made under the Professional Opportunities for Women in Research and Education (POWRE) program, will provide an opportunity for the Principal Investigator to initiate independent research on the application of wavelets (and modern signal processing and estimation theory, in general) to her professional field, and will create opportunities for future funding from regular NSF and other sources. This is expected to increase her chances for getting a regular tenure track faculty appointment. The Principal Investigator is a mid career researcher, with interdisciplinary education (in Physics, Civil Engineering, Applied Mathematics and Electrical Engineering), career based in Earthquake Engineering and Engineering Seismology, and with a non-tenure track faculty appointment at the University of Southern California. This grant will also provide an opportunity for her continuing presence and visibility at her home institution, where she has been the only female faculty in the Civil Engineering Department. This project will involve cooperation across two engineering disciplines (the Principal Investigator will cooperate on this project with faculty from the Electrical Engineering Department of her home institution), and participation of one graduate student (with Civil Engineering background). Finally, this project will lead to the introduction of new methodologies for understanding and modeling earthquake strong ground motion and response of structures, and consequently will contribute to the national effort for Earthquake Risk Reduction.***